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This resource index gives users access to most of the course resources in a single location.
Unit I: Ax = b and the Four Subspaces
Exam 1
EXAM | EXAMS AND SOLUTIONS |
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Exam 1 | Exams (PDF) Solutions (PDF) |
Unit II: Least Squares, Determinants and Eigenvalues
Exam 2
EXAM | EXAMS AND SOLUTIONS |
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Exam 2 | Exams (PDF) Solutions (PDF) |
Unit III: Positive Definite Matrices and Applications
TITLES | LECTURE VIDEOS | LECTURE NOTES | TEXTBOOK READINGS | PROBLEM SOLVING VIDEOS | PROBLEM SETS |
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Symmetric Matrices and Positive Definiteness |
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Lecture summary (PDF) | Section 6.4 through 6.5 in the 4th or 5th edition | Problems (PDF) Solutions (PDF) |
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Complex Matrices; Fast Fourier Transform (FFT) | Lecture summary (PDF) | Section 10.2 through 10.3 in the 4th edition or Section 9.2 and 9.3 in the 5th edition |
Problems (PDF) Solutions (PDF) |
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Positive Definite Matrices and Minima | Lecture summary (PDF) | Section 6.5 in the 4th or 5th edition | Problems (PDF) Solutions (PDF) |
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Similar Matrices and Jordan Form | Lecture summary (PDF) | Section 6.6 in the 4th edition or Section 6.2 in the 5th edition |
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Problems (PDF) Solutions (PDF) |
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Singular Value Decomposition |
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Lecture summary (PDF) | Section 6.7 in the 4th edition or Section 7.1 and 7.2 in the 5th edition | Problems (PDF) Solutions (PDF) |
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Linear Transformations and their Matrices |
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Lecture summary (PDF) | Section 7.1 in the 4th edition or Section 8.1 in the 5th edition | Problems (PDF) Solutions (PDF) |
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Change of Basis; Image Compression | Lecture summary (PDF) | Section 7.2 in the 4th edition or Section 8.2 in the 5th edition | Problems (PDF) Solutions (PDF) |
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Left and Right Inverses; Pseudoinverse | Lecture summary (PDF) | Section 7.3 in the 4th edition or Section 8.3 in the 5th edition | Problems (PDF) Solutions (PDF) |
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Exam 3 Review |
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Lecture summary (PDF) | Review Chapters 6 and 7, plus Sections 10.2 through 10.3 in the 4th edition or Review Chapters 6, 7, and 8 plus Sections 9.2 through 9.3 in the 5th edition | None |
Exam 3
EXAM | EXAMS AND SOLUTIONS |
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Exam 3 | Exams (PDF) Solutions (PDF) |
Final Course Review
TITLES | LECTURE VIDEOS | LECTURE NOTES | TEXTBOOK READINGS | PROBLEM SOLVING VIDEOS | PROBLEM SETS |
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Final Course Review | Lecture summary (PDF) | None | None |
Final Exam
FINAL EXAM | EXAMS AND SOLUTIONS |
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Final Exam | Exams (PDF) Solutions (PDF) |
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